On the number of solutions of a type of one-dimensional pseudodifferential equations in Sobolev-Slobodetsky space

Autor:	V. V. Simonyan, A. G. Kamalyan
Rok vydání:	2011
Předmět:	Sobolev space Control and Optimization Factorization Simultaneous equations Homogeneous Applied Mathematics Mathematical analysis Mathematics::Analysis of PDEs Order (ring theory) Space (mathematics) Analysis Mathematics
Zdroj:	Journal of Contemporary Mathematical Analysis. 46:1-11
ISSN:	1934-9416 1068-3623
Popis:	The paper considers homogeneous, one-dimensional pseudodifferential equations of nonnegative order with symbols of the form Σi=1Nth(kix + ωi)Ai(ξ). Using a relationship between such equations and the systems of singular equations, some estimates for the number of solutions of pseudodifferential equations in the Sobolev-Slobodetsky space are obtained.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::a3b4aedab06a00b901f95dce55e960c9 https://doi.org/10.3103/s1068362311010018 Zobrazit plný text záznamu Full text from SpringerLink